2. You are considering buying a car, which will last for ten years and give you a benefit of $3,000 per year. You could either pay for it in cash at a cost of $20,000 (and we assume you have this in your bank account), or you could pay for the car in four installments of $5,100 per year for years 1 through 4, plus a cash payment of $2,500 up front. a. Assuming a discount rate of 5%, which financing method would you prefer, using the usual exponential discounting. Explain, and show your workings. b. Assuming a discount rate of 5%, and impatience (so =0.9), meaning that you dont want to postpone good things but you do want to postpone bad things, which financing method would you choose? Explain, and show your workings.